AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

The barrel of a fountain-pen, cylindrical in shape is $7 cm$ long and $5 mm$ in diameter. A full barrel of ink in the pen is used up on writing 330 words on an average. How many words would use up a bottle of ink containing one fifth of a litre?

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

742524

86555

48000

54000

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given a barrel of a fountain-pen, cylindrical in shape is 7 cm long and 5 mm in diameter.
A full barrel of ink in the pen is used up on writing 330 words on an average.
The diameter of the cylindrical barrel is

5 mm = 510 cm .

Therefore, its radius

0.5 2 cm = 0. 25 cm .

The volume of the cylinder is

V = π r 2 h

, here r is radius, h is height.
Then the volume of the cylindrical barrel is,

V = 227 × 0.25 2 × 7 ⇒ V = 9.6250 7 ⇒ V = 1.3750 cm 3

The volume of ink in the bottle,

15 of a litre = 15 × 1000 ⇒ 200 cm 3

The total number of barrels required to fill from the volume of ink is

200 1.375

.
So, the number of words required is,

200 1.375 × 330 = 48000

Thus, the number of words required is 48,000.
Therefore, option (3) is correct.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!